What is the answer to 0.6= 1/x ?

The answer to 0.6= 1/x is x= 5/3

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0.6= 1/x

0.6 = \frac{1}{x}

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

0.6 = \frac{1}{x}

Multiply both sides by

x

0.6 x = 1

Multiply both sides by

10

6 x = 10

Divide both sides by

6

x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{3}

x + \frac{2}{x} = 3

\frac{2 x}{x + 3} = 6 - \frac{6}{x + 3}

\frac{3}{5 x} + \frac{1}{x} = 2

x^{- 2} + 3 x^{- 1} - 18 = 0

\frac{3}{x} + \frac{3}{2 x} = 2